Schur-power convexity of integral mean for convex functions on the coordinates

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Schur-power convexity of integral mean for convex functions on the coordinates

Shi, Huannan; Zhang, Jing

Open Mathematics, 12/2023, Volume: 21, Issue: 1

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Abstract In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.

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